A mortar-based frictional contact formulation for large deformations using Lagrange multipliers

verfasst von: M. Tur, F. J. Fuenmayor, Peter Wriggers
Abstract: In this work a Lagrange multiplier method is proposed to solve 2D Coulomb frictional contact problems in the context of large deformations. As the proposed formulation is based on the mortar method, the constraints are imposed in a weak integral sense along the contact surface. In order to compute the contact integrals, we use a numerical integration based on the definition of the kinematical variables (gap, slip and their variations) at the quadrature points. The linearization of non-linear equations (virtual work and contact constraints) is developed in order to apply a Newton's method. The examples show that the numerical integration still preserves the optimal rate of convergence of the finite element solution.
Organisationseinheit(en): Institut für Kontinuumsmechanik
Externe Organisation(en): Universidad Politecnica de Valencia
Typ: Artikel
Journal: Computer Methods in Applied Mechanics and Engineering
Band: 198
Seiten: 2860-2873
Anzahl der Seiten: 14
ISSN: 0045-7825
Publikationsdatum: 23.07.2009
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Numerische Mechanik, Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik
Elektronische Version(en): https://doi.org/10.1016/j.cma.2009.04.007 (Zugang: Unbekannt)

BibTeX

@article{75254105281c4bc789c3dd70edfe421e,
title = "A mortar-based frictional contact formulation for large deformations using Lagrange multipliers",
abstract = "In this work a Lagrange multiplier method is proposed to solve 2D Coulomb frictional contact problems in the context of large deformations. As the proposed formulation is based on the mortar method, the constraints are imposed in a weak integral sense along the contact surface. In order to compute the contact integrals, we use a numerical integration based on the definition of the kinematical variables (gap, slip and their variations) at the quadrature points. The linearization of non-linear equations (virtual work and contact constraints) is developed in order to apply a Newton's method. The examples show that the numerical integration still preserves the optimal rate of convergence of the finite element solution.",
keywords = "Contact, Friction, Lagrange multiplier, Large sliding, Mortar method",
author = "M. Tur and Fuenmayor, {F. J.} and Peter Wriggers",
note = "Funding information: The authors wish to express their gratitude for the financial support received from the Spanish Ministry for Science and Technology under project DPI2007-66995-C03-02 and Universidad Politecnica de Valencia (PAID-06-09).",
year = "2009",
month = jul,
day = "23",
doi = "10.1016/j.cma.2009.04.007",
language = "English",
volume = "198",
pages = "2860--2873",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "37-40",
}